\n\n\n \nb) Gesucht ist das bestimmte Integral im Intervall `[0; 2]`
\n `=> b = int_1^2 f(x) · dx = [-1/3 x^3 + x]_1^2`
\n `~ ~ ~ ~ ~ ~ ~ = F(2) - F(1) = (-1/3 2^3 + 2) - (-1/3 1^3 + 1) = - 2/3`\n \n
\n\n","summary":"Das bestimmte Integral in einem Intervall berechnet die Flächenbilanz","attachments":[{"tag":"idea","name":"OberUnterTrapez","file":"OberUnterTrapez.ggb","mime":"application/vnd.geogebra-classic.file","type":"file","href":"data/Mathematik/Integralrechnung/Bestimmtes%20Integral/OberUnterTrapez.ggb"},{"tag":"","name":"Bestimmtes Integral","file":"Bestimmtes Integral.ggb","mime":"application/vnd.geogebra-classic.file","type":"file","href":"data/Mathematik/Integralrechnung/Bestimmtes%20Integral/Bestimmtes%20Integral.ggb"},{"tag":"","name":"Bestimmtes Integral a","file":"Bestimmtes Integral a.svg","mime":"image/svg+xml","type":"file","href":"data/Mathematik/Integralrechnung/Bestimmtes%20Integral/Bestimmtes%20Integral%20a.svg"},{"tag":"","name":"Bestimmtes Integral b","file":"Bestimmtes Integral b.svg","mime":"image/svg+xml","type":"file","href":"data/Mathematik/Integralrechnung/Bestimmtes%20Integral/Bestimmtes%20Integral%20b.svg"}],"subject":"Mathematik","modified":1676840398948,"author":"Holger Engels","links":"","priority":1,"keywords":"Stammfunktion, Integrationsgrenzen, Flächenbilanz","thumb":"Bestimmtes Integral b.svg","educationalLevel":"11,12,13","typicalAgeRange":"16-18","educationalContext":"Sekundarstufe II","sgs":"38002","created":1613689200000,"_attachments":{"Bestimmtes Integral b.svg":{"content_type":"image/svg+xml","revpos":20,"digest":"md5-flygrdrptIDxpkBxybrrMg==","length":31550,"stub":true},"Bestimmtes Integral a.svg":{"content_type":"image/svg+xml","revpos":19,"digest":"md5-UEwrXg3f/NyezxDVPsdw7Q==","length":31626,"stub":true},"Bestimmtes Integral.ggb":{"content_type":"application/vnd.geogebra-classic.file","revpos":18,"digest":"md5-jd/+7cErfxrNzyzlePnESg==","length":21279,"stub":true},"OberUnterTrapez.ggb":{"content_type":"application/vnd.geogebra-classic.file","revpos":5,"digest":"md5-T0ghZVRcFgb+j7MbO5xfQA==","length":63125,"stub":true}}}